{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VCWNZLY24V643IWOQ7RRYELJHK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b606db5bc6f42b0c3b07080dcf296450a850aec59c37084f406af0aac79196a6","cross_cats_sorted":["cond-mat.str-el","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-08T19:00:14Z","title_canon_sha256":"58fd1a72b28d3e381cbe2ff513ae845fdd42b444b0c45dd961bdf0c41c74db9f"},"schema_version":"1.0","source":{"id":"1801.02637","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.02637","created_at":"2026-05-18T00:20:16Z"},{"alias_kind":"arxiv_version","alias_value":"1801.02637v2","created_at":"2026-05-18T00:20:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.02637","created_at":"2026-05-18T00:20:16Z"},{"alias_kind":"pith_short_12","alias_value":"VCWNZLY24V64","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VCWNZLY24V643IWO","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VCWNZLY2","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:1150d081e65cda2cd4e6fd1f077e018c9e8f500fdaa32eec10ebb624732d1f3f","target":"graph","created_at":"2026-05-18T00:20:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We present a numerical study of three-dimensional two-color QCD with $N=0, 2, 4, 8$ and 12 flavors of massless two-component fermions using parity-preserving improved Wilson-Dirac fermions. A finite volume analysis provides strong evidence for the presence of $Sp(N)$ symmetry-breaking bilinear condensate when $N \\le 2$ and its absence for $N \\ge 8$. A weaker evidence for the bilinear condensate is shown for $N=4$. We estimate the critical number of flavors below which scale-invariance is broken by the bilinear condensate to be between $N=4$ and 6.","authors_text":"Nikhil Karthik, Rajamani Narayanan","cross_cats":["cond-mat.str-el","hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-08T19:00:14Z","title":"Scale-invariance and scale-breaking in parity-invariant three-dimensional QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02637","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8726bf2e25a8ad6ab2bd38b3801e88f0c2f726cd7f13086754b8cd4faf0cc695","target":"record","created_at":"2026-05-18T00:20:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b606db5bc6f42b0c3b07080dcf296450a850aec59c37084f406af0aac79196a6","cross_cats_sorted":["cond-mat.str-el","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-08T19:00:14Z","title_canon_sha256":"58fd1a72b28d3e381cbe2ff513ae845fdd42b444b0c45dd961bdf0c41c74db9f"},"schema_version":"1.0","source":{"id":"1801.02637","kind":"arxiv","version":2}},"canonical_sha256":"a8acdcaf1ae57dcda2ce87e31c11693ab6dd4f7293152da23ba96f0617daad8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8acdcaf1ae57dcda2ce87e31c11693ab6dd4f7293152da23ba96f0617daad8e","first_computed_at":"2026-05-18T00:20:16.184698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:16.184698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NsN8QY/VwV4wInJnB1FhxXue2fmGF3NBHmQ6AWsIE2mZ3hN3ZRG/HJVvguT+vFrrvDqDdCg8/5741aqxIWL9CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:16.185390Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.02637","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8726bf2e25a8ad6ab2bd38b3801e88f0c2f726cd7f13086754b8cd4faf0cc695","sha256:1150d081e65cda2cd4e6fd1f077e018c9e8f500fdaa32eec10ebb624732d1f3f"],"state_sha256":"0436eb09ba531d7e57e93a9b14930e616f8b7b8a9a12ec89d295956326f5f39a"}